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Beliebt Rechnen >

derivative y=2sec(x)-csc(x)

Lösung

ableitung von

y = 2 sec (x) - csc (x)

Lösung

2 sec (x) tan (x) + cot (x) csc (x)

Schritte zur Lösung

\frac{d}{d x} (2 sec (x) - csc (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 sec (x)) - \frac{d}{d x} (csc (x))

\frac{d}{d x} (2 sec (x)) = 2 sec (x) tan (x)

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= 2 sec (x) tan (x) - (- cot (x) csc (x))

Vereinfache

= 2 sec (x) tan (x) + cot (x) csc (x)

Graph

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